1861630848 has 384 divisors, whose sum is σ = 6904535040. Its totient is φ = 467251200.

The previous prime is 1861630819. The next prime is 1861630867. The reversal of 1861630848 is 8480361681.

It is a happy number.

1861630848 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 630 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749486 + ... + 2750162.

It is an arithmetic number, because the mean of its divisors is an integer number (17980560).

Almost surely, 2^1861630848 is an apocalyptic number.

1861630848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1861630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452267520).

1861630848 is an abundant number, since it is smaller than the sum of its proper divisors (5042904192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1861630848 is a wasteful number, since it uses less digits than its factorization.

1861630848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1861630848 is about 43146.6203543221. The cubic root of 1861630848 is about 1230.1682736266.

The spelling of 1861630848 in words is "one billion, eight hundred sixty-one million, six hundred thirty thousand, eight hundred forty-eight".